Views of (n=70) 16- and 17-year olds on mathematical knowledge, activity, and learning were analyzed using factorial techniques. Findings suggest there was no simple systematic relationship between beliefs about the nature of mathematical knowledge and the teaching and learning of mathematics. (19 references) (Author/MKR)

Teaching/learning trends include (1) incremental (information explosion); (2) stationary (biology of cognitive processes); and (3) iterative (recurring debates over teaching methods). Effects are externalization of knowledge structures, the importance of "importance," and instructional "enabling," failure of teachers and students to confront real…

Explores the successive and progressive changes in the structural complexity and propositional validity of knowledge held by students enrolled in an advanced undergraduate university-level biology course. Finds that in general, a significant amount of weak restructuring occurs and that the most radical type of strong restructuring occurs during…

Like any apparently novel approach to the basic epistemological problems of "knowledge," the constructivist ideas that have spread in the last 20 years continue to generate a host of negative as well as a few positive reactions. This document focuses on some aspects of Radical Constructivism, as distinct from "trivial"…

The purpose of this paper is to familiarize readers with Vygotsky's theory on verbal regulation of thinking skills, to describe related research and applications of the theory, and to explore its relevance for researchers, parents, and educators. (MT)

This article presents a new method of inferring students' cognitive structures and their development. A modification of Reitman and Rueter's "ordered tree technique," the method generates a structure that displays important relationships assumed to be in a student's memory about concepts taken from a specific field of study. (Author/LMO)

Effects on learning of most principal independent variables can be generalized within, but not between, five different categories: intellectual skills, verbal information, cognitive strategies, motor skills, and attitudes. Psychological research has been and continues to be well-served by this categorization. (GC)

Because knowledge is constantly in flux, it is important for individuals to accurately incorporate new information into previously developed knowledge structures. Some of the issues surrounding this development of thought are explored in this paper. Although the phenomenon of knowledge integration is relatively common, very little empirical…

In a study of 151 college freshmen of both sexes, cognitive complexity and learning orientation revealed gender-related qualitative differences within parallel cognitive structures. Different cognitive structures were accompanied by different learning orientations. (Author/TE)

A mathematician who has been teaching for 58 years discusses 3 types of knowledge that are subjects for teaching or learning (what, how, and why) and why teaching must include problem solving or the use of the Socratic, Moore, or discovery method. (MKR)

Reports results of 14 studies on children's knowledge about thinking. Suggests that preschoolers appear to know that thinking is an internal mental activity that can refer to real or imaginary objects or events. However, preschoolers are poor at determining when a person is and is not thinking. This shortcoming is considerably less evident in…

The ability to recognize and recall details about objects helps scientists figure out the answers to problems. Observational skills can be developed by sketching objects in detail. Rapid drawing can improve students' sense of important features and rapid memorization of clues about an object. (JDD)

Investigates the cognitive functions of college students' use of underlining as a learning strategy. Finds that underlining does not serve an encoding or review function and may be counterproductive for inferential recall. (PRA)

Describes a study that used the ordered-tree technique to investigate knowledge change across the first semester of a college course in organic chemistry. Finds that over the course of the semester, students' knowledge trees became more similar to those of their professors. Discusses possible assessment uses for the ordered-tree technique.…

An eyetracking study testing D. L. Medin and M. M. Schaffer's (1978) 5-4 category structure was conducted. Over 30 studies have shown that the exemplar-based generalized context model (GCM) usually provides a better quantitative account of 5-4 learning data as compared with the prototype model. However, J. D. Smith and J. P. Minda (2000) argued…